1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dennis_Churaev [7]
3 years ago
6

Y = 2x + 3 how to do this

Mathematics
1 answer:
Marat540 [252]3 years ago
5 0

Answer:

To graph:

Step-by-step explanation:

Plot your first point at (0,3) as it's your y-interecpt.

Then from that point move 2 up and 1 over to the right for your second point. I did this since 2 is your slope.

You might be interested in
The table gives estimates of the world population, in millions, from 1750 to 2000. (Round your answers to the nearest million.)
BaLLatris [955]

Answer:

A.) 1508 ; 1870

B.) 2083

C.) 3972

Step-by-step explanation:

General form of an exponential model :

A = A0e^rt

A0 = initial population

A = final population

r = growth rate ; t = time

1)

Using the year 1750 and 1800

Time, t = 1800 - 1750 = 50 years

Initial population = 790

Final population = 980

Let's obtain the growth rate :

980 = 790e^50r

980/790 = e^50r

Take the In of both sides

In(980/790) = 50r

0.2155196 = 50r

r = 0.2155196/50

r = 0.0043103

Using this rate, let predict the population in 1900

t = 1900 - 1750 = 150 years

A = 790e^150*0.0043103

A = 790e^0.6465588

A = 1508.0788 ; 1508 million people

In 1950;

t = 1950 - 1750 = 200

A = 790e^200*0.0043103

A = 790e^0.86206

A = 1870.7467 ; 1870 million people

2.)

Exponential model. For 1800 and 1850

Initial, 1800 = 980

Final, 1850 = 1260

t = 1850 - 1800 = 50

Using the exponential format ; we can obtain the rate :

1260 = 980e^50r

1260/980 = e^50r

Take the In of both sides

In(1260/980) = 50r

0.2513144 = 50r

r = 0.2513144/50

r = 0.0050262

Using the model ; The predicted population in 1950;

In 1950;

t = 1950 - 1800 = 150

A = 980e^150*0.0050262

A = 980e^0.7539432

A = 2082.8571 ; 2083 million people

3.)

1900 1650

1950 2560

t = 1900 - 1950 = 50

Using the exponential format ; we can obtain the rate :

2560 = 1650e^50r

2560/1650 = e^50r

Take the In of both sides

In(2560/1650) = 50r

0.4392319 = 50r

r = 0.4392319/50

r = 0.0087846

Using the model ; The predicted population in 2000;

In 2000;

t = 2000 - 1900 = 100

A = 1650e^100*0.0087846

A = 1650e^0.8784639

A = 3971.8787 ; 3972 million people

3 0
3 years ago
Composition of functions Find g (f(x)) for the following problems
beks73 [17]

1.

f(x)=-3x\qquad g(x)=5x-6\\\\g(f(x))=5(-3x)-6=\boxed{-15x-6}

2.

f(x)=x-6\qquad g(x)=x^2+6x-2\\\\g(f(x))=(x-6)^2+6(x-6)-2=x^2-12x+36+6x-36-2=\\\\=\boxed{x^2-6x-2}

3.

f(x)=4x+3\qquad g(x)=2x^2-x+1\\\\g(f(x))=2(4x+3)^2-(4x+3)+1=2(16x^2+24x+9)-4x-3+1=\\\\=32x^2+48x+18-4x-3+1=\boxed{32x^2+44x+16}

4.

f(x)=2x^2\qquad g(x)=8x^2+3x\\\\g(f(x))=8(2x^2)^2+3(2x^2)=8\cdot4x^4+6x^2=\boxed{32x^4+6x^2}

7 0
3 years ago
A cylinder is filled with 900 liters of water.find the area of its base if height of cylinder is 20dm.
Lisa [10]
The formula of the volume of a cylinder:

V=\pi r^2H\\\\where:\\\\r-a\ radius\\H-a\ height\\\pi r^2-an\ area\ of\ base

We have:

V=900\ liters\\1L=1dm^3\ therefore\ V=900L=900dm^3

and

H=20\ dm

substitute:

\pi r^2\cdot20=900\ \ \ |:20\\\\\pi r^2=45\ dm^2

Answer: The area of a base of the cylinder is equal 45 dm².
5 0
3 years ago
Please Show Work 6x(-4) Six times negative four.
Ainat [17]

Answer:

6 x (-4)

= (-24)

Step-by-step explanation:

when multiplying integers, you first need to multiply the numbers. Then you need to look at the signs if both numbers have the same signs or if it doesn't. if the signs are the same, the product is a positive . If the two numbers have different signs, you will get a negative product.

NOTE: if a number doesn't have a sign, it's a positive number

7 0
3 years ago
Pepper jack he decides the map of three times larger what is the scale of The new map
Elan Coil [88]

Answer:Solution:

Let starting map of youth center has Dimension (Preimage)

1 unit of y= k units

1 unit of x = t units

The new map of youth center which is 3 times larger than original(Image)

1 unit of y= 3 k units

1 unit of x = 3 t units

Image = 3 × Pre- image

The image is larger than Pre- image.

So, Scale of the new map = 3 × The original dimension of map.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • A number in form of aabb is a perfect square then find the number. (using method).​
    14·1 answer
  • Gomez found the masses of three rocks for a science project. The first rock had a mass of 19.28 grams the second rock had a mass
    11·2 answers
  • Victor malaba has a net income of $1,240per month. If he spends$150 on foid,$244 on a car payment,$300 on rent, and 50 on saving
    8·1 answer
  • Given the inequality below:<br><br> 3x-y&gt;4<br><br> Which is the graph of the solution set?
    11·1 answer
  • Evaluate sin^2 (pi/4) + cos^2(pi/4) + cos.
    15·1 answer
  • A cone of base 10 cm^2 and a height of 60 cm has what volume?
    6·1 answer
  • Eighth grade
    12·1 answer
  • A theme park designer wants to build a water slide with a slope of -3. The slide has to end at (120, 0). What is a possible star
    15·1 answer
  • The value of stock changes from $22 on Monday to $30 on Tuesday. Calculate the percent increase.
    5·1 answer
  • I need help asap, if u can help me with other questions after this I’ll give u 50+ points
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!